From WMAP to Planck: Exact reconstruction of 4- and 5-dimensional inflationary potential from high precision CMB measurements
arXiv:0907.5558 · doi:10.1088/0004-637X/706/2/1008
Abstract
We make a more general determination of the inflationary observables in the standard 4-D and 5-D single-field inflationary scenarios, by the exact reconstruction of the dynamics of the inflation potential during the observable inflation with minimal number of assumptions: the computation does not assume the slow-roll approximation and is valid in all regimes if the field is monotonically rolling down its potential. Making use of the {\em Hamilton-Jacobi} formalism developed for the 5-D single-field inflation model,we compute the scale dependence of the amplitudes of the scalarand tensor perturbations by integrating the exact mode equation. We analyze the implications of the theoretical uncertainty in the determination of the reheating temperature after inflation on the observable predictions of inflation and evaluate its impact on the degeneracy of the standard inflation consistency relation.
30 pages and 7 figures processed with LATEX macros v5.2 accepted for publication in Astrophysical Journal
References in corpus (14)
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectra
- Inflation after WMAP3: Confronting the Slow-Roll and Exact Power Spectra with CMB Data
- Probing cosmological parameters with the CMB: Forecasts from full Monte Carlo simulations
- What do WMAP and SDSS really tell about inflation?
- Constraining Inflation
- On the accuracy of slow-roll inflation given current observational constraints
- The consistency equation hierarchy in single-field inflation models
- On the dipole straylight contamination in spinning space missions dedicated to CMB anisotropy
- Brane-world inflation: slow-roll corrections to the spectral index
- Constraints on non-thermal Dark Matter from Planck lensing extraction